Some new directions in hoc methodology tackling circular geometries

Abstract

The present work is mainly deals with the development of a class of higher order com pact HOC Dnite di Derence formulations to tackle the circular geometries both for the continuous and discontinuous cases Depending upon this the contains of the present work can be divided into two parts The Drst part concerned with the development of HOC schemes for convection diDusion equations in general and incompressible viscous Dows in particular on nonuniform polar coordinate system The basic diDer